Cube using Column Method
Cube using Column Method
Let x = ab (where a is the tens digit and b is the units digit ) be a two-digit natural number.
Recall that for finding ,we formed three columns containing
,
, because
Since =
+3
+ 3
+
.
Therefore, for finding we will form four columns containing
,
b,3
a
and
.
The remaining procedure is exactly identical to the method of finding the square of a two-digit natural number.
Illustration: Find the cube of 24 by using the column method .
Solution: Here, a = 2 and b = 4 .
|
Column I |
Column II 3 |
Column III 3 |
Column IV |
|
+5 |
3 +10 |
3 +6 |
|
| 13 | 58 | 102 |
13 8 2 4
Illustration: Find the cube of 25 by using the column method.
Solution: Here, a = 2 and b = 5 .
|
Column I |
Column II 3 |
Column III 3 |
Column IV |
|
+7 |
+16 |
+12 |
|
| 15 | 76 | 162 |
15 6 2 5
Find the number obtained in the third column while calculating the cube of 55 using the column method. | |||
| Right Option : D | |||
| View Explanation | |||
Evaluate: | |||
| Right Option : C | |||
| View Explanation | |||
Find the number obtained in the second column while calculating the cube of 99 using the column method. | |||
| Right Option : C | |||
| View Explanation | |||
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